# Topological Entanglement-Spectrum Crossing in Quench Dynamics.

@article{Gong2017TopologicalEC, title={Topological Entanglement-Spectrum Crossing in Quench Dynamics.}, author={Zongping Gong and Masahito Ueda}, journal={Physical review letters}, year={2017}, volume={121 25}, pages={ 250601 } }

We unveil the stable (d+1)-dimensional topological structures underlying the quench dynamics for all of the Altland-Zirnbauer classes in d=1 dimension, and we propose to detect such dynamical topology from the time evolution of entanglement spectra. Focusing on systems in classes BDI and D, we find crossings in single-particle entanglement spectra for quantum quenches between different symmetry-protected topological phases. The entanglement-spectrum crossings are shown to be stable against…

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The concept of loop unitary constructed from the unitary time-evolution operator is introduced and its homotopy invariant fully characterizes the dynamical topology, proving that the invariant is precisely equal to the change in the Chern number across the quench, regardless of the initial state.

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The notion of topological phases extended to dynamical systems stimulates extensive studies, of which the characterization of non-equilibrium topological invariants is a central issue and usually…

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This work proposes the topological holographic quench dynamics in synthetic dimension, and shows it provides a highly efficient scheme to characterize photonic topological phases and shows the universal bulk-surface duality with complete topological information being encoded in the single time variable.

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We investigate a generic dynamical theory to characterize topological quantum phases by quantum quenches, and study the emergent topology of quantum dynamics when the quenches start from a deep or…

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